What is the result of simplifying 8a - 3 + 2a?

• A. 10a - 3
• B. 9a - 3
• C. 10a + 3
• D. 8a - 1

Answer: (A)

To simplify the expression (8a - 3 + 2a), the first step is to identify the like terms. In this case, the terms involving 'a' are (8a) and (2a). These can be combined because they both contain the same variable.

Starting with (8a) and adding (2a) gives:

[

8a + 2a = 10a

]

Now, we still have the constant term (-3) in the expression. Since there are no other constant terms to combine with (-3), it remains as it is.

Putting it all together, the simplified expression becomes:

[

10a - 3

]

This is why the correct answer is the option indicating (10a - 3). The remaining choices either miscalculate the combination of (a) terms or incorrectly add the constant, which is why they do not match the final result.